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414012341022 = 237109223740427
BaseRepresentation
bin1100000011001010000…
…11101111101100011110
31110120122020021001021020
412001211003233230132
523240344124403042
6514110013145010
741624416556130
oct6014503575436
91416566231236
10414012341022
1114a64419a625
12682a3a8b166
133006c67b4a7
141607716d050
15ab81b683ec
hex60650efb1e

414012341022 has 64 divisors (see below), whose sum is σ = 955446243840. Its totient is φ = 117148726656.

The previous prime is 414012341021. The next prime is 414012341027. The reversal of 414012341022 is 220143210414.

414012341022 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 414012340983 and 414012341001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414012341021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10220773 + ... + 10261199.

It is an arithmetic number, because the mean of its divisors is an integer number (14928847560).

Almost surely, 2414012341022 is an apocalyptic number.

414012341022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414012341022 is an abundant number, since it is smaller than the sum of its proper divisors (541433902818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414012341022 is a wasteful number, since it uses less digits than its factorization.

414012341022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42785.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414012341022 its reverse (220143210414), we get a palindrome (634155551436).

The spelling of 414012341022 in words is "four hundred fourteen billion, twelve million, three hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 654 763 1526 2237 2289 4474 4578 6711 13422 15659 31318 40427 46977 80854 93954 121281 242562 243833 282989 487666 565978 731499 848967 1462998 1697934 1706831 3413662 4406543 5120493 8813086 10240986 13219629 26439258 30845801 61691602 90435199 92537403 180870398 185074806 271305597 542611194 633046393 1266092786 1899139179 3798278358 9857436691 19714873382 29572310073 59144620146 69002056837 138004113674 207006170511 414012341022